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Chapter 6 Motion in Two Directions

Chapter 6 Motion in Two Directions. Projectile Motion Projectile- object shot through the air Trajectory- the path that a projectile follows How can horizontal and vertical displacement be determined? Vertical displacement d y = ½ gt 2 + v i t if v i =0 then d y = ½gt 2

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Chapter 6 Motion in Two Directions

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  1. Chapter 6Motion in Two Directions Projectile Motion Projectile- object shot through the air Trajectory- the path that a projectile follows How can horizontal and vertical displacement be determined? • Vertical displacement dy= ½gt2 + vit if vi=0 then dy= ½gt2 • Horizontal displacement dx= vxt

  2. Example • A stone is thrown horizontally at 15m/s. It is thrown from the top of a cliff 44 m high. • How long does it take the stone to reach the bottom of the cliff? • How far from the base of the cliff does the stone strike the ground?

  3. Example A projectile is launched horizontally from the top of a building with a velocity of 12.7m/s. At what height is the projectile launched if the projectile lands 15.0 m from the side of the building?

  4. Projectiles Launched at an Angle • A golf ball is hit and leaves the tee with a velocity of 25.0 m/s at 35.0° with respect to the horizontal. What is the horizontal displacement of the ball? V= 25.0 m/s = 35.0° dx= ? t=?

  5. Example • A projectile is fired with a velocity of 19.6 m/s at an angle of 60.0° with the horizontal. • Calculate the vertical and horizontal velocity of the projectile. • Calculate the time the projectile is in the air. • Determine the horizontal displacement that the projectile travels. • Determine the maximum height the projectile reaches.

  6. Circular Motion • Centripetal acceleration • - center-seeking acceleration of an object moving in a circle. How is it determined? Ac= v2/r or Ac= 42r/T2

  7. Centripetal Force • Net force directed toward the center of a circle How is it determined? Fnet= mac Example: A 13g rubber stopper is attached to a 0.93 m string. The stopper is swung in a horizontal circle, making one revolution in 1.18s. Find the tension force exerted by the string on the stopper.

  8. Relative Velocity • Motion is relative to an observer • Example: A motor boat traveling 6.0 m/s, East encounters a current traveling 3.8 m/s, South. • What is the resultant velocity? • If the width of the river is 120 m wide, then how much time does it take the boat to travel shore to shore? • What distance downstream does the boat reach the opposite shore?

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